Method for calculating torsion angle of cutting tool based on complex plane

A cutting tool, twisting angle technology, applied in complex mathematical operations and other directions, can solve problems such as cumbersome steps, and achieve the effect of simple calculation steps

Pending Publication Date: 2020-11-13
NANTONG UNIVERSITY
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Problems solved by technology

[0002] In the process of cutting and cutting, the existing method is to calculate the angle of the knife based on the cross product. Since the steps of calculating the angle using the cross product are cumbersome, it is necessary to judge the direction of rotation of the angle.

Method used

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  • Method for calculating torsion angle of cutting tool based on complex plane
  • Method for calculating torsion angle of cutting tool based on complex plane
  • Method for calculating torsion angle of cutting tool based on complex plane

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Embodiment

[0033] The calculation principle of the present invention is as follows: the natural logarithm of the complex number, the real part is equal to the natural logarithm of the complex number modulus, the imaginary part is equal to the argument angle of the complex number, and the angle between vectors can be calculated by utilizing the difference of the complex number natural logarithm.

[0034] Such as Figure 1-2 As shown, the calculation method of the cutting tool torsion angle based on the complex plane of the present invention, the specific calculation process is as follows:

[0035] Step 1. According to the parameters of the two adjacent curves, the starting point of the straight line, the starting point of the arc and the center of the circle, the initial turning angle of the tool is determined by the tool coordinate system, and the tool is tangentially turned to the initial machining direction of the workpiece;

[0036] Step 2. In the complex plane, set the tangent vector...

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Abstract

The invention discloses a method for calculating a torsion angle of a cutting tool based on a complex plane, which comprises the following steps of: placing a vector in a rectangular coordinate systemin a complex plane coordinate system, and utilizing a plurality of natural logarithms of which the real part is equal to the natural logarithms of a plurality of modules and the imaginary part is equal to the argument of the plurality of modules; converting a current curve terminal point tangential vector and a next curve starting point tangential vector into a complex plane vector, and calculating an included angle between the vectors according to a difference value of a plurality of natural logarithms. The calculated angle is a directed angle, the rotation direction of the cutter does not need to be judged any more, and the method is simple in calculation step and suitable for cutter twisting angle calculation during complex curve machining.

Description

technical field [0001] The invention belongs to the field of cutting and cutting, and in particular relates to a calculation method for the torsion angle of a cutting tool based on a complex plane. Background technique [0002] In the process of cutting and cutting, the existing method is to calculate the knife rotation angle according to the cross product. Since the steps of calculating the angle by using the cross product are cumbersome, it is necessary to judge the rotation direction of the angle. Contents of the invention [0003] Purpose of the invention: In order to solve the deficiencies of the prior art, the present invention provides a calculation method for the twist angle of the cutting tool based on the complex plane. [0004] Technical solution: a method for calculating the torsion angle of a cutting tool based on a complex plane, including the following steps: [0005] Step 1. According to the parameters of the two adjacent curves, the starting point of the ...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F17/16
CPCG06F17/16
Inventor 朱志松刘宇周任杰赵旭
Owner NANTONG UNIVERSITY
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